A tuning fork of frequency $280\,\, Hz$ produces $10$ beats per sec when sounded with a vibrating sonometer string. When the tension in the string increases slightly, it produces $11$ beats per sec. The original frequency of the vibrating sonometer string is ... $Hz$
Medium
Download our app for free and get started
The frequency of tuning fork is $\nu_{T}=280 \mathrm{Hz}$
The frequency of sonometer string is $\nu_{s}$
The frequency of beats is
$\left|\nu_{T}-\nu_{s}\right|=10$
Hence, the frequency of sonometer string is either $10 \mathrm{Hz}$ more i.e. $290 \mathrm{Hz}$ or $10 \mathrm{Hz}$ lessi.e. $270 \mathrm{Hz}$ because increase in this frequency will reduce the frequency of beats.
But when tension is applied to the string its frequency increases and number of beats also increases. Hence, frequency of string cannot be $290 \mathrm{Hz}$.
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The relation between frequency $‘n’$ wavelength ‘$\lambda$’ and velocity of propagation $‘v’$ of wave isView Solution
- 2Calculate the frequency of the second harmonic formed on a string of length $0.5 m$ and mass $2 × 10^{-4}$ kg when stretched with a tension of $20 N$ .... $Hz$View Solution
- 3If at $STP$, velocity of sound in a gas $(\gamma=1.5)$ is $600 \,m / s$, the $r.m.s.$ velocity of the gas molecules at $STP$ will be ........... $m / s$View Solution
- 4The driver of a car travelling with speed $30 \,\,m/s$ towards a hill sounds a horn of frequency $600\,\, Hz.$ If the velocity of sound in air is $330 \,\,m/s$, the frequency of reflected sound as heard by driver is .... $Hz$View Solution
- 5Which of the following is $CORRECT$View Solution
- 6The length of a son meter wire $AB$ is $110\; cm$. Where should the two bridges be placed from $A$ to divide the wire in $3$ segments whose fundamental frequencies are in the ratio of $1:2:3$?View Solution
- 7Which of the following is $CORRECT$View Solution
- 8A $12 \,m$ long vibrating string has the speed of wave $48 \,m / s$. To what frequency it will resonate ........... $cps$View Solution
- 9A standing wave pattern of amplitude $A$ in a string of length $L$ shows $2$ nodes (plus those at two ends). If one end of the string corresponds to the origin and $v$ is the speed of progressive wave, the disturbance in the string, could be represented (with appropriate phase) as:View Solution
- 10A wave equation which gives the displacement along the $Y$ direction is given by the equation $y = {10^4}\sin (60t + 2x)$, where $x$ and $y$ are in metres and $t$ is time in seconds. This represents a waveView Solution